The Brazilian goalkeeper, who joined from Roma in the summer, was left red-faced after losing the ball while attempting to perform a Cruyff turn.
Kelechi Iheanacho dispossessed Alisson and squared to Rachid Ghezzal who slotted home to get Leicester back into the Premier League fixture on Saturday.
Alissons blunder did not cost Liverpool three points, however, and Klopp claims he was glad the incident occurred.
He is 0.0 per cent arrogant, but hes confident and he can do it. Its like when our centre-halves play passes, Klopp said of his £56million shot-stopper.
They have to play passes and defend and all that stuff. I dont look for anyone responsible, the final one was Alisson but we should have cleared the situation before.
It wasnt a situation where you pass the ball back. We make decisions in a second and in a second you realise, “That was the wrong one”.
I think that was this situation. To be 100 per cent honest I am really happy it happened, because we dont have to wait for it now.
Despite Alissons mistake, Liverpool maintained their perfect start to the new Premier League season with a 2-1 win at the King Power Stadium.
Forward Sadio Mane fired the Reds in front after ten minutes, before Roberto Firmino doubled Liverpools lead on the stroke of half-time.
Ghezzal gave Leicester hope with his 63rd-minute goal but Liverpool held on to a win that ensures they remain top of the table.
Premier League legend Alan Shearer believes Alisson needs to learn from his error and look to be more conservative in future weeks.
His manager said he has got away with the mistake and that is fine, but he got away with one at Brighton last week as well, he said.
If youre a forward and you have seen the footage against Brighton, you are not going to get fooled again. The Leicester player gambles and gets the reward.
Alisson should be getting rid of that ball and there was no need to do it.
They were in cruise control but then the panic sets in and it was unnecessary. He wont make that mistake again.